Visualization of the Geometric Transformation Group Based on the Riemannian Metric

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 光电信息技术研究室

	Visualization of the Geometric Transformation Group Based on the Riemannian Metric
	Liu TC(刘天赐); Shi ZL(史泽林); Liu YP(刘云鹏); Li CX(李晨曦)
	2016
会议名称	2016 3rd International Conference on Systems and Informatics (ICSAI 2016)
会议日期	November 19-21, 2016
会议地点	Shanghai, China
关键词	Riemannian manifold projective transformation group MDS visualization Riemannian metric
页码	930-935
通讯作者	刘天赐
中文摘要	Manifolds of visual motions lying in the high dimensional space are hard to comprehend and invisible. Facing this issue, we propose a novel method to visualize geometric transformations in images, where the projective transformations of SL(3) group are visualized based on multidimensional scaling(MDS). Based on the fact that the distance metric on SL(3) group doesn’t have a closed form to compute, so we present a new approach to solve this problem. As a result, we compute a set of coordinate-vectors in the three dimensional state transition space that retains the given pattern of proximity in the high dimensional parameter space as much as possible for purpose of visualization. We test our methodology on synthetic images and real images respectively, getting convincing results in all cases.
收录类别	EI ; CPCI（ISTP）
产权排序	1
会议录	Proceedings of 2016 3rd International Conference on Systems and Informatics (ICSAI 2016)
会议录出版者	IEEE
会议录出版地	New York
语种	英语
ISBN号	978-1-5090-5521-0
WOS记录号	WOS:000400697600166
内容类型	会议论文
源URL	[http://ir.sia.cn/handle/173321/19480]
专题	沈阳自动化研究所_光电信息技术研究室
推荐引用方式 GB/T 7714	Liu TC,Shi ZL,Liu YP,et al. Visualization of the Geometric Transformation Group Based on the Riemannian Metric[C]. 见:2016 3rd International Conference on Systems and Informatics (ICSAI 2016). Shanghai, China. November 19-21, 2016.